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Finding the Third Proportional to 15,307.10 and 33,712.45

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Solution

The third proportional to 15,307.10 and 33,712.45 is: 74,248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,307.10 : 33,712.45 = 33,712.45 : x
  2. Step 2: Convert to fraction form
    15,307.10/33,712.45 = 33,712.45/x
  3. Step 3: Cross multiply
    15,307.10x = 33,712.45 × 33,712.45
  4. Step 4: Simplify right side
    15,307.10x = 1,136,529,495.71
  5. Step 5: Solve for x
    x = 1,136,529,495.71/15,307.10
  6. Step 6: Final answer
    x = 74,248.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.